Compensation and nonlinear theory

Abstract

The existence is demonstrated of a new class of compensating fields in addition to the well-known fields of Yang-Mills type that lead to nonlinear field theory and induce a non-Euclidean geometry of spacetime. The cases of the Lorentz group, U(1), SU(2), SU(3), SU(2, 2) and coordinate transformations are considered.

Keywords

Field Theory Coordinate Transformation Nonlinear Theory Lorentz Group Nonlinear Field